{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-09-09T05:34:41.284981Z",
     "start_time": "2025-09-09T05:34:41.266268Z"
    }
   },
   "source": [
    "from d2l import torch as d2l\n",
    "from d2l.torch import load_array, synthetic_data\n",
    "import torch\n",
    "\n",
    "n_train, n_test, num_inputs, batch_size = 20, 100, 200, 5\n",
    "true_w, true_b = torch.ones((num_inputs, 1)) * 0.01, 0.05\n",
    "train_data = synthetic_data(true_w, true_b, n_train)\n",
    "train_iter = load_array(train_data, batch_size)\n",
    "test_data = synthetic_data(true_w, true_b, n_test)\n",
    "test_iter = load_array(test_data, batch_size, is_train=False)"
   ],
   "outputs": [],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-09T05:34:41.303104Z",
     "start_time": "2025-09-09T05:34:41.299422Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def init_params():\n",
    "    w = torch.normal(0, 1, (num_inputs, 1), requires_grad=True)\n",
    "    b = torch.zeros(1, requires_grad=True)\n",
    "    return [w, b]"
   ],
   "id": "c2730a438c03f321",
   "outputs": [],
   "execution_count": 8
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-09T05:34:41.313657Z",
     "start_time": "2025-09-09T05:34:41.310696Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def l2_penalty(w):\n",
    "    return torch.sum(w.pow(2)) / 2"
   ],
   "id": "b5e67425c19202dd",
   "outputs": [],
   "execution_count": 9
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-09T06:01:18.476058Z",
     "start_time": "2025-09-09T06:01:18.468421Z"
    }
   },
   "cell_type": "code",
   "source": [
    "def train(lambd):\n",
    "    w, b = init_params()\n",
    "    net, loss_fn = lambda X: d2l.linreg(X, w, b), d2l.squared_loss\n",
    "    num_epochs, lr = 100, 0.03\n",
    "    animator = d2l.Animator(xlabel='epochs', ylabel='loss', yscale='log',\n",
    "                            xlim=[5, num_epochs], legend=['train', 'test'])\n",
    "    for epoch in range(num_epochs):\n",
    "        for X, y in train_iter:\n",
    "            y_pred = net(X)\n",
    "            loss = loss_fn(y_pred, y) + lambd * l2_penalty(w)\n",
    "            loss.sum().backward()\n",
    "            d2l.sgd([w, b], lr, batch_size)\n",
    "            if (epoch + 1) % 5 == 0:\n",
    "                animator.add(epoch + 1, (d2l.evaluate_loss(net, train_iter, loss_fn),\n",
    "                                     d2l.evaluate_loss(net, test_iter, loss_fn)))\n",
    "    print('w的L2范数是：', torch.norm(w).item())\n"
   ],
   "id": "7fd9be7df05af445",
   "outputs": [],
   "execution_count": 14
  },
  {
   "metadata": {},
   "cell_type": "code",
   "source": "train(0)",
   "id": "e86595d8d1fa9890",
   "execution_count": 15,
   "outputs": [
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   ]
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## 简洁实现",
   "id": "6b379225480d5169"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-09T06:05:44.902931Z",
     "start_time": "2025-09-09T06:05:44.888671Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from torch import nn\n",
    "\n",
    "\n",
    "def train_concise(wd):\n",
    "    net = nn.Sequential(nn.Linear(num_inputs, 1))\n",
    "    for param in net.parameters():\n",
    "        param.data.normal_()\n",
    "\n",
    "    num_epochs, lr = 100, 0.003\n",
    "    loss_fn = nn.MSELoss(reduction='none')\n",
    "    optimizer = torch.optim.SGD([\n",
    "        {'params': net[0].weight, 'weight_decay': wd},\n",
    "        {'params': net[0].bias}], lr=lr)\n",
    "    animator = d2l.Animator(xlabel='epochs', ylabel='loss', yscale='log',\n",
    "                            xlim=[5, num_epochs], legend=['train', 'test'])\n",
    "\n",
    "    for epoch in range(num_epochs):\n",
    "        for X, y in train_iter:\n",
    "            y_pred = net(X)\n",
    "            loss = loss_fn(y_pred, y)\n",
    "            optimizer.zero_grad()\n",
    "            loss.mean().backward()\n",
    "            optimizer.step()\n",
    "        if (epoch + 1) % 5 == 0:\n",
    "            animator.add(epoch + 1, (d2l.evaluate_loss(net, train_iter, loss_fn),\n",
    "                                     d2l.evaluate_loss(net, test_iter, loss_fn)))\n",
    "    print('w的 L2范数: ', net[0].weight.norm().item())"
   ],
   "id": "5e05958f2ea51c7d",
   "outputs": [],
   "execution_count": 24
  },
  {
   "metadata": {},
   "cell_type": "code",
   "source": "train_concise(0)",
   "id": "6ecf89045ce56e8a",
   "execution_count": 25,
   "outputs": [
    {
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